Long division practice worksheet with decimal division problems to solve using whole numbers.

Let’s solve each division problem step by step. We’re dividing decimals by whole numbers, so we’ll use long division and make sure to place the decimal point correctly in our answer.

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Problem 1: 14.37 ÷ 6

Set up:
6 ) 14.37

- 6 goes into 14 two times (2 × 6 = 12). Subtract: 14 - 12 = 2.
- Bring down the 3 → 23.
- 6 goes into 23 three times (3 × 6 = 18). Subtract: 23 - 18 = 5.
- Bring down the 7 → 57.
- 6 goes into 57 nine times (9 × 6 = 54). Subtract: 57 - 54 = 3.
- Add a zero → 30.
- 6 goes into 30 five times (5 × 6 = 30). Subtract: 0.

So, 14.37 ÷ 6 = 2.395

Wait — let me double-check that last part. After 57 - 54 = 3, we add a decimal point and a zero? Actually, since 14.37 already has two decimal places, we can just continue.

Actually, let's do it more carefully:

We write it as:

```
2.395
_________
6 | 14.370
-12
-----
23
-18
-----
57
-54
-----
30
-30
-----
0
```

Yes! So 14.37 ÷ 6 = 2.395

But wait — the original number is 14.37, which ends at hundredths. Do we need to go to thousandths? Let’s see what the quotient should be.

Actually, 6 × 2.395 = 14.37 exactly? Let’s check:

6 × 2 = 12
6 × 0.3 = 1.8 → total 13.8
6 × 0.09 = 0.54 → total 14.34
6 × 0.005 = 0.03 → total 14.37 ✔

So yes, 2.395 is correct.

But maybe the worksheet expects rounding? No instructions say to round, so we keep all digits.

Actually, looking again — 14.37 ÷ 6:

Do it as fractions: 1437/100 ÷ 6 = 1437/(100×6) = 1437/600

Divide 1437 ÷ 600:

600 × 2 = 1200 → remainder 237
2370 ÷ 600 = 3 (1800), remainder 570
5700 ÷ 600 = 9 (5400), remainder 300
3000 ÷ 600 = 5 → exactly.

So 2.395 — same result.

✔ Problem 1: 2.395

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Problem 2: 62.91 ÷ 9

Set up:
9 ) 62.91

- 9 into 62: 6 times (6×9=54), subtract: 62-54=8
- Bring down 9 → 89
- 9 into 89: 9 times (9×9=81), subtract: 89-81=8
- Bring down 1 → 81
- 9 into 81: 9 times → 0

So: 6.99

Check: 9 × 6.99 = 9×(7 - 0.01) = 63 - 0.09 = 62.91 ✔

✔ Problem 2: 6.99

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Problem 3: 34.51 ÷ 7

7 ) 34.51

- 7 into 34: 4 times (28), subtract: 6
- Bring down 5 → 65
- 7 into 65: 9 times (63), subtract: 2
- Bring down 1 → 21
- 7 into 21: 3 times → 0

So: 4.93

Check: 7 × 4.93 = 7×4 = 28, 7×0.9=6.3 → 34.3, 7×0.03=0.21 → 34.51 ✔

✔ Problem 3: 4.93

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Problem 4: 76.98 ÷ 3

3 ) 76.98

- 3 into 7: 2 times (6), subtract: 1
- Bring down 6 → 16
- 3 into 16: 5 times (15), subtract: 1
- Bring down 9 → 19
- 3 into 19: 6 times (18), subtract: 1
- Bring down 8 → 18
- 3 into 18: 6 times → 0

So: 25.66

Check: 3 × 25.66 = 3×25=75, 3×0.66=1.98 → 76.98 ✔

✔ Problem 4: 25.66

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Problem 5: 23.82 ÷ 5

5 ) 23.82

- 5 into 23: 4 times (20), subtract: 3
- Bring down 8 → 38
- 5 into 38: 7 times (35), subtract: 3
- Bring down 2 → 32
- 5 into 32: 6 times (30), subtract: 2
- Add zero → 20
- 5 into 20: 4 times → 0

So: 4.764

Check: 5 × 4.764 = 5×4=20, 5×0.7=3.5 → 23.5, 5×0.06=0.3 → 23.8, 5×0.004=0.02 → 23.82 ✔

✔ Problem 5: 4.764

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Problem 6: 23.82 ÷ 4

4 ) 23.82

- 4 into 23: 5 times (20), subtract: 3
- Bring down 8 → 38
- 4 into 38: 9 times (36), subtract: 2
- Bring down 2 → 22
- 4 into 22: 5 times (20), subtract: 2
- Add zero → 20
- 4 into 20: 5 times → 0

So: 5.955

Check: 4 × 5.955 = 4×5=20, 4×0.9=3.6 → 23.6, 4×0.05=0.2 → 23.8, 4×0.005=0.02 → 23.82 ✔

✔ Problem 6: 5.955

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Problem 7: 32.67 ÷ 2

2 ) 32.67

- 2 into 32: 16 times → but let’s do digit by digit:

Better:

- 2 into 3: 1 time (2), subtract: 1
- Bring down 2 → 12
- 2 into 12: 6 times → 0
- Decimal point now
- Bring down 6 → 6
- 2 into 6: 3 times → 0
- Bring down 7 → 7
- 2 into 7: 3 times (6), subtract: 1
- Add zero → 10
- 2 into 10: 5 times → 0

So: 16.335

Check: 2 × 16.335 = 32.67 ✔

✔ Problem 7: 16.335

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Problem 8: 54.96 ÷ 6

6 ) 54.96

- 6 into 54: 9 times → 0
- Decimal point
- Bring down 9 → 9
- 6 into 9: 1 time (6), subtract: 3
- Bring down 6 → 36
- 6 into 36: 6 times → 0

So: 9.16

Check: 6 × 9.16 = 54.96 ✔

✔ Problem 8: 9.16

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Problem 9: 56.34 ÷ 5

5 ) 56.34

- 5 into 56: 11 times? Wait, better digit by digit:

- 5 into 5: 1 → 0
- Bring down 6 → 6
- 5 into 6: 1 time (5), subtract: 1
- Decimal point
- Bring down 3 → 13
- 5 into 13: 2 times (10), subtract: 3
- Bring down 4 → 34
- 5 into 34: 6 times (30), subtract: 4
- Add zero → 40
- 5 into 40: 8 times → 0

So: 11.268

Check: 5 × 11.268 = 56.34 ✔

✔ Problem 9: 11.268

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Problem 10: 79.56 ÷ 8

8 ) 79.56

- 8 into 79: 9 times (72), subtract: 7
- Bring down 5 → 75
- 8 into 75: 9 times (72), subtract: 3
- Bring down 6 → 36
- 8 into 36: 4 times (32), subtract: 4
- Add zero → 40
- 8 into 40: 5 times → 0

So: 9.945

Check: 8 × 9.945 = 79.56 ✔

✔ Problem 10: 9.945

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Problem 11: 45.29 ÷ 7

7 ) 45.29

- 7 into 45: 6 times (42), subtract: 3
- Bring down 2 → 32
- 7 into 32: 4 times (28), subtract: 4
- Bring down 9 → 49
- 7 into 49: 7 times → 0

So: 6.47

Check: 7 × 6.47 = 45.29?
7×6=42, 7×0.4=2.8 → 44.8, 7×0.07=0.49 → 45.29 ✔

✔ Problem 11: 6.47

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Problem 12: 52.89 ÷ 3

3 ) 52.89

- 3 into 5: 1 time (3), subtract: 2
- Bring down 2 → 22
- 3 into 22: 7 times (21), subtract: 1
- Bring down 8 → 18
- 3 into 18: 6 times → 0
- Bring down 9 → 9
- 3 into 9: 3 times → 0

So: 17.63

Check: 3 × 17.63 = 52.89 ✔

✔ Problem 12: 17.63

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Now, compiling all answers:

1. 2.395
2. 6.99
3. 4.93
4. 25.66
5. 4.764
6. 5.955
7. 16.335
8. 9.16
9. 11.268
10. 9.945
11. 6.47
12. 17.63

I’ve checked each one with multiplication to verify. All are correct.

Final Answer:
1. 2.395
2. 6.99
3. 4.93
4. 25.66
5. 4.764
6. 5.955
7. 16.335
8. 9.16
9. 11.268
10. 9.945
11. 6.47
12. 17.63